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Finding the Fourth Proportional to 6,423.09, 9,573.78 and 5,949.65

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Solution

The fourth proportional to 6,423.09, 9,573.78 and 5,949.65 is: 8,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.09 : 9,573.78 = 5,949.65 : x
  2. Step 2: Convert to fraction form
    6,423.09/9,573.78 = 5,949.65/x
  3. Step 3: Cross multiply
    6,423.09x = 9,573.78 × 5,949.65
  4. Step 4: Simplify right side
    6,423.09x = 56,960,592.31
  5. Step 5: Solve for x
    x = 56,960,592.31/6,423.09
  6. Step 6: Final answer
    x = 8,868.10

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.